0.6(1.2x+4.5)-3(2.8x-4)=0

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Solution for 0.6(1.2x+4.5)-3(2.8x-4)=0 equation: 


Simplifying
0.6(1.2x + 4.5) + -3(2.8x + -4) = 0

Reorder the terms:
0.6(4.5 + 1.2x) + -3(2.8x + -4) = 0
(4.5 * 0.6 + 1.2x * 0.6) + -3(2.8x + -4) = 0
(2.7 + 0.72x) + -3(2.8x + -4) = 0

Reorder the terms:
2.7 + 0.72x + -3(-4 + 2.8x) = 0
2.7 + 0.72x + (-4 * -3 + 2.8x * -3) = 0
2.7 + 0.72x + (12 + -8.4x) = 0

Reorder the terms:
2.7 + 12 + 0.72x + -8.4x = 0

Combine like terms: 2.7 + 12 = 14.7
14.7 + 0.72x + -8.4x = 0

Combine like terms: 0.72x + -8.4x = -7.68x
14.7 + -7.68x = 0

Solving
14.7 + -7.68x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-14.7' to each side of the equation.
14.7 + -14.7 + -7.68x = 0 + -14.7

Combine like terms: 14.7 + -14.7 = 0.0
0.0 + -7.68x = 0 + -14.7
-7.68x = 0 + -14.7

Combine like terms: 0 + -14.7 = -14.7
-7.68x = -14.7

Divide each side by '-7.68'.
x = 1.9140625

Simplifying
x = 1.9140625

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